130971610001 has 8 divisors (see below), whose sum is σ = 139113291240. Its totient is φ = 122878536448.

The previous prime is 130971609997. The next prime is 130971610039. The reversal of 130971610001 is 100016179031.

It is a Cunningham number, because it is equal to 361900²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 130971610000 = 1^2 + 361900^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130971610001 - 2² = 130971609997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130971610201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12146366 + ... + 12157143.

It is an arithmetic number, because the mean of its divisors is an integer number (17389161405).

Almost surely, 2^130971610001 is an apocalyptic number.

It is an amenable number.

130971610001 is a deficient number, since it is larger than the sum of its proper divisors (8141681239).

130971610001 is a wasteful number, since it uses less digits than its factorization.

130971610001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24303843.

The product of its (nonzero) digits is 1134, while the sum is 29.

Adding to 130971610001 its reverse (100016179031), we get a palindrome (230987789032).

The spelling of 130971610001 in words is "one hundred thirty billion, nine hundred seventy-one million, six hundred ten thousand, one".